22082480928 has 96 divisors (see below), whose sum is σ = 64551816000. Its totient is φ = 7344304128.

The previous prime is 22082480923. The next prime is 22082480983. The reversal of 22082480928 is 82908428022.

22082480928 is a `hidden beast` number, since 2 + 2 + 0 + 82 + 480 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (22082480923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359475 + ... + 416397.

It is an arithmetic number, because the mean of its divisors is an integer number (672414750).

Almost surely, 2^22082480928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22082480928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32275908000).

22082480928 is an abundant number, since it is smaller than the sum of its proper divisors (42469335072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22082480928 is a wasteful number, since it uses less digits than its factorization.

22082480928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57391 (or 57377 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 22082480928 in words is "twenty-two billion, eighty-two million, four hundred eighty thousand, nine hundred twenty-eight".